Finite element simulation of three‐dimensional free‐surface flow problems with dynamic contact lines

Walkley, Mark A.; Gaskell, Philip; Jimack, Peter K.; Kelmanson, Mark A.; Summers, J. L.

doi:10.1002/fld.839

Cited by 16 publications

(18 citation statements)

References 9 publications

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“…For time-dependent flows a dynamic contact angle model is implemented which allows motion of the free surface along a solid boundary. This dynamic model allows the free surface to maintain contact angles different from the static value while not at equilibrium [14], in line with experimental observations. Specifying a variation in the distribution of the static contact angle allows simulation of problems where the solid surface has preferential wetting areas and, conversely, areas where wetting is inhibited.…”

Section: Introductionsupporting

confidence: 62%

“…This problem was previously modelled [14]; however, the improvements to the discrete remeshing algorithm described in Section 3 are demonstrated by considering the problem again. The droplet is initially hemispherical with radius 1 and the computational mesh has 396 nodes and 179 elements.…”

Section: Numerical Modelmentioning

confidence: 99%

“…This measure indicates regions in which surface curvature is large relative to the local mesh resolution and is controlled with a tolerance value. In previous work [14], remeshing the isoparametric, piecewise-quadratic domain introduced a small but non-negligible volume change; in practice it was an order of magnitude greater than the volume change from the mesh movement alone.…”

Section: Numerical Modelmentioning

confidence: 99%

“…Figures 2(a)-(b) show statistics for 20 time units of the droplet simulation for the original algorithm (old) [14] and the improved algorithm (new) described in the previous section. The old and new algorithms introduce volume changes of 3.1 × 10 −2 (1.5% of the fluid volume) and 4.6 × 10 −4 (0.02%) respectively at the first remeshing stage.…”

Section: Numerical Modelmentioning

confidence: 99%

“…We describe some algorithmic developments, and typical computational results, with an adaptive numerical method for the simulation of viscous, three-C560 dimensional, time-dependent, free-surface flow problems [13,14]. Such problems occur in a wide variety of scientific and engineering applications, such as the spreading of viscous fluids [4], the development and motion of droplets of fluids [10], or in coating flows [7].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Adaptive finite element simulation of three-dimensional surface tension dominated free-surface flow problems

Walkley

Gaskell²,

Jimack³

et al. 2005

ANZIAMJ

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An arbitrary Lagrangian-Eulerian finite element method is described for the solution of time-dependent, three-dimensional, freesurface flow problems. Many flows of practical significance involve contact lines, where the free surface meets a solid boundary. This contact line may be pinned to a particular part of the solid but is more typically free to slide in a manner that is characterised by the dynamic contact angle formed by the fluid. We focus on the latter case and use a model that admits spatial variation of the contact angle: thus ANZIAM J. 46 (E) ppC558-C571, 2005C559 permitting variable wetting properties to be simulated. The problems are driven by the motion of the fluid free surface (under the action of surface tension and external forces such as gravity) hence the geometry evolves as part of the solution, and mesh adaptivity is required to maintain the quality of the computational mesh for the physical domain. Continuous mesh adaptivity, in the form of a pseudo-elastic mesh movement scheme, is used to move the interior mesh nodes in response to the motion of the fluid's free surface. Periodic, discrete remeshing stages are also used for cases in which the fluid volume has grown, or is sufficiently distorted, by the free-surface motion. Examples are given of a droplet sliding on an inclined uniform plane and of a droplet spreading on a surface with variable wetting properties.

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Section: Introductionsupporting

confidence: 62%

Section: Numerical Modelmentioning

confidence: 99%

Section: Numerical Modelmentioning

confidence: 99%

Section: Numerical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adaptive finite element simulation of three-dimensional surface tension dominated free-surface flow problems

Walkley

Gaskell²,

Jimack³

et al. 2005

ANZIAMJ

Self Cite

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Visualization and simulation of the transfer process of index‐matched silica microparticle inks for gravure printing

Boelens

Pablo

Lim³

et al. 2016

AIChE Journal

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A combined experimental and computational study of the transfer of transparent index‐matched silica‐particle inks between two flat plates is presented for gravure printing applications. The influence of printing speed and initial ink droplet size on the ability to accurately transfer ink during the printing process is explored systematically. Smooth interface volume of fluid simulations show the same trends as the ink transfer observed in experiments over a wide range of printing speeds and for inks having different silica particle loadings. Our calculations indicate that for ink droplets with characteristic dimensions in the vicinity of 10 μm, which are of particular interest for gravure printing applications, ink transfer improves significantly due to the diminishing effect of gravity, and the increased importance of capillary forces at small length scales. © 2016 American Institute of Chemical Engineers AIChE J, 63: 1419–1429, 2017

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A model of the unsteady response of a backward‐facing compliant step

Gerber

Holloway

2007

Numerical Methods in Fluids

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SUMMARYA large number of industrial surface coating and continuous casting operations require a fluid to flow from a reservoir, over a compliant step, onto a moving substrate. The contact line between the compliant step and substrate in such cases generally responds in an unsteady manner, depending on flow conditions, which can have an important influence on the surface quality of the final product. This work describes the development of a computational fluid dynamics (CFD) model for predicting this unsteady response, with a particular emphasis on isolating the natural frequency of the contact line in a backward-facing step configuration. The compliant step was developed and implemented in the context of a pressure-based finite-element/finite-volume CFD solution, implicit in time, and considers in-surface forces based on a surface tension coefficient or an elastic membrane.

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Finite element simulation of three‐dimensional free‐surface flow problems with dynamic contact lines

Cited by 16 publications

References 9 publications

Adaptive finite element simulation of three-dimensional surface tension dominated free-surface flow problems

Adaptive finite element simulation of three-dimensional surface tension dominated free-surface flow problems

Visualization and simulation of the transfer process of index‐matched silica microparticle inks for gravure printing

A model of the unsteady response of a backward‐facing compliant step

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